34200100313 has 4 divisors (see below), whose sum is σ = 34320949008. Its totient is φ = 34079251620.

The previous prime is 34200100289. The next prime is 34200100331. The reversal of 34200100313 is 31300100243.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 34200100313 - 2⁸ = 34200100057 is a prime.

It is a super-2 number, since 2×34200100313² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34200100291 and 34200100300.

It is not an unprimeable number, because it can be changed into a prime (34200100343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60423923 + ... + 60424488.

It is an arithmetic number, because the mean of its divisors is an integer number (8580237252).

Almost surely, 2^34200100313 is an apocalyptic number.

It is an amenable number.

34200100313 is a deficient number, since it is larger than the sum of its proper divisors (120848695).

34200100313 is a wasteful number, since it uses less digits than its factorization.

34200100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120848694.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 34200100313 its reverse (31300100243), we get a palindrome (65500200556).

The spelling of 34200100313 in words is "thirty-four billion, two hundred million, one hundred thousand, three hundred thirteen".